101131431343441 has 8 divisors (see below), whose sum is σ = 101573880252768. Its totient is φ = 100689171000000.

The previous prime is 101131431343421. The next prime is 101131431343489. The reversal of 101131431343441 is 144343134131101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101131431343441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101131431343397 and 101131431343406.

It is not an unprimeable number, because it can be changed into a prime (101131431343421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46066435 + ... + 48211816.

It is an arithmetic number, because the mean of its divisors is an integer number (12696735031596).

Almost surely, 2^{101131431343441} is an apocalyptic number.

It is an amenable number.

101131431343441 is a deficient number, since it is larger than the sum of its proper divisors (442448909327).

101131431343441 is an equidigital number, since it uses as much as digits as its factorization.

101131431343441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94282943.

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 101131431343441 its reverse (144343134131101), we get a palindrome (245474565474542).

The spelling of 101131431343441 in words is "one hundred one trillion, one hundred thirty-one billion, four hundred thirty-one million, three hundred forty-three thousand, four hundred forty-one".